diff --git a/04_potentiel_electrique.md b/04_potentiel_electrique.md index 2f56a2c3bd9337dbe3e3d1995e919be231834388..e8f0e9f7bf59d07193b96d1284db8755e4cac054 100644 --- a/04_potentiel_electrique.md +++ b/04_potentiel_electrique.md @@ -395,7 +395,7 @@ Les capacités sont représentées dans des circuits électriques pas un symbole comme si la @fig:cap_symbol {#fig:cap_symbol width=50%} +électrique.](figs/cap_symbol.svg){#fig:cap_symbol width=20%} Si on applique un voltage (un potentiel), $V$, entre les deux plaques en les connectant à une batterie ou à une prise électrique par exemple, une des deux diff --git a/06_cicruits_electriques.md b/06_cicruits_electriques.md index 8bcc3b007985a15828e03050a8fb9fa610c39f66..432906d9f8b78359aa4d07b854edbb242f12e690 100644 --- a/06_cicruits_electriques.md +++ b/06_cicruits_electriques.md @@ -216,10 +216,42 @@ Considérons maintenant le cas de capacités en série (voir @fig:three_cap). --- -Exercice (Capacité équivalente) # +Question (Capacité équivalente) # Déterminer la capacité équivalente des capacités branchées en série. Indication: Il faut évaluer $V$ en fonction des chutes de potentiel. --- + + +--- + +Solution (Capacité équivalente) # + +Le voltage total au travers de toutes les capacités doit être donné par la somme des voltages au travers de chaque capacité +$$ +V=V_1+V_2+V_3. +$${#eq:tot_volt} +On sait aussi que le charge est la même sur chaque capacité (conservation de la charge) et donc +$$ +Q=C_1V_1=C_2V_2=C_3V_3. +$$ +On peut réécrire @eq:tot_volt comme +$$ +\frac{Q}{C_\mathrm{eq}}=\frac{Q}{C_1}+\frac{Q}{C_2}+\frac{Q}{C_3}=Q\left(\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}\right). +$$ + +--- + +## Les circuits RC + +Souvent les capacités et résistances sont connectées en série dans les circuits électriques (voir @fig:rc). C'est même un composant essentiel +dans quasiment tous les circuits du monde. +Ces circuits sont particulièrement utiles quand +les courant n'est pas stationnaire (qu'il dépend du temps). Dans cette section on va analyser les circuits RC dans certains cas particuliers. + +{#fig:rc width=50%} + + + diff --git a/figs/rc.svg b/figs/rc.svg new file mode 100644 index 0000000000000000000000000000000000000000..881369198c62ae456749b720ea3bd2ab61e0cf4f --- /dev/null +++ b/figs/rc.svg @@ -0,0 +1,205 @@ +<?xml version="1.0" encoding="UTF-8" standalone="no"?> +<!-- Created with Inkscape (http://www.inkscape.org/) --> + +<svg + width="146.36209mm" + height="83.975021mm" + viewBox="0 0 146.36209 83.975021" + version="1.1" + id="svg626" + inkscape:version="1.2.2 (b0a8486541, 2022-12-01)" + sodipodi:docname="rc.svg" + xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" + xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" + xmlns="http://www.w3.org/2000/svg" + xmlns:svg="http://www.w3.org/2000/svg"> + <sodipodi:namedview + id="namedview628" + pagecolor="#ffffff" + bordercolor="#666666" + borderopacity="1.0" + inkscape:showpageshadow="2" + 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